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Finding the Fourth Proportional to 492,277.14, 738,415.65 and 118,300.14

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Solution

The fourth proportional to 492,277.14, 738,415.65 and 118,300.14 is: 177,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,277.14 : 738,415.65 = 118,300.14 : x
  2. Step 2: Convert to fraction form
    492,277.14/738,415.65 = 118,300.14/x
  3. Step 3: Cross multiply
    492,277.14x = 738,415.65 × 118,300.14
  4. Step 4: Simplify right side
    492,277.14x = 87,354,674,773.19
  5. Step 5: Solve for x
    x = 87,354,674,773.19/492,277.14
  6. Step 6: Final answer
    x = 177,450.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.